Abstract
The transition process from circular Couette flow to Taylor vortex flow regime was experimentally investigated by measuring the instantaneous velocity vector fields at the annular gap flow region between two concentric cylinders. The proper orthogonal decomposition method, vorticity calculation, and frequency analysis were applied in order to analyze the instantaneous velocity fields to identify the flow characteristics during the transition process. From the results, the kinetic energy and corresponding reconstructed velocity fields were able to detect the onset of the transition process and the alternation of the flow structure. The intermittency and oscillation of the vortex flows during the transition process were also revealed from the analysis of the instantaneous velocity fields. The results can be a measure of identifying the critical Reynolds number of the Taylor-Couette flow from a velocity measurement method.
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References
G. I. Taylor, Stability of a viscous liquid contained between two rotating cylinders, Philosophical Transactions of The Royal Society, A 223 (1923) 289–343.
Y. N. Lee and W. J. Minkowycz, Heat transfer characteristics of the annulus of two-coaxial cylinders with one cylinder rotating, International Journal of Heat and Mass Transfer, 32 (1989) 711–722.
S. S. Deshmukh, S. Vedantam, J. B. Joshi and S. B. Koganti, Computational Flow Modeling and Visualization in the Annular Region of Annular Centrifugal Extractor, Industrial & Engineering Chemistry Research, 46(25) (2007) 8343–8354.
T. J. Lockett, S. M. Richardson and W. J. Worraker, The stability of inelastic non-Newtonian fluids in Couette flow between concentric cylinders: a finite-element study, Journal of Non-Newtonian Fluid Mechanics, 43 (1992) 165–177.
D. Cole, Transition in circular Couette flow, Journal of Fluid Mechanics, 21 (1965) 385–425.
C. D. Andereck, S. S. Liu and H. L. Swinney, Flow regimes in a circular Couette system with independently rotating cyl inders, Journal of Fluid Mechanics, 164 (1986) 155–183.
D. Cole, Taylor-vortex instability and annulus-length effects, Journal of Fluid Mechanics, 75 (1976) 1–15.
B. Dubrulle, O. Dauchot, F. Daviaud, P. -Y. Longaretti, D. Richard and J. -P. Zahn, Stability and turbulent transport in Taylor-Couette flow from analysis of experimental data, Physics of Fluids, 17 (2005) 095103–19.
B. Eckhardt, S. Grossmann and D. Lohse, Torque scaling in Taylor-Couette flow, Proceedings in Physics, 117 (2007) 352–354.
B. Eckhardt, S. Grossmann and D. Lohse, Torque scaling in turbulent Taylor-Couette flow between independently rotating cylinders, Journal of Fluid Mechanics, 581 (2007) 221–250.
J. L. Lumley, Atmospheric turbulence and radio wave propagation, Nauka, Russia (1967) 166–178.
S. Bayraktar and T. Yilmaz, Experimental analysis of transverse jet using various decomposition techniques, Journal of Mechanical Science and Technology, 25 (5) (2011) 1325–1333.
S. J. Yi, S. M. Kim, H. D. Kim, J. W. Kim and K. C. Kim, Spatial and temporal structures of turbulent bubble-driven flows in a rectangular water tank, Journal of Mechanical Science and Technology, 24(9) (2010) 1819–1827.
T. T. Lim, Y. T. Chew and Q. Xiao, A new flow regime in a Taylor-Couette flow, Physics of Fluids, 10 (1998) 3233–3235.
R. C. Di Prima and H. L. Swinney, Hydrodynamic Instabilities and the Transition to Turbulence, Springer, Germany (1981).
D. Liu, S. H. Lee and H. B. Kim, Effect of a constant radial temperature gradient on a Taylor-Couette flow with axial wall slits, Fluid Dynamics Research, 42(6) (2010) 1–16.
S. T. Werely and R. M. Lueptow, Spatio-temporal character of non-wavy and wavy Taylor-Couette flow, Journal of Fluid Mechanics, 364 (1998) 59–80.
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Recommended by Associate Editor Dongshin Shin
Xin Cheng Tu received his master’s degree at the Graduate School of Energy and Power Engineering in 2009 from Jiangsu University in China and is now a Ph.D candidate at Gyeongsang National University in Korea. His research interest is in flow measurement using optical and ultrasound method.
Dong Liu received his Ph.D in fluid machinery and engineering from Jiangsu University in 2008. He worked as senior researcher at Gyeongsang National University from 2008 to 2010. Now he is an associate professor in Jiangsu University. His research interests are in flow instability of Taylor-Couette flow and flow measurement in fluid machinery.
Hyoung-Bum Kim received his Ph.D in Mechanical Engineering from POSTECH in 2000. He joined the School of Mechanical Engineering at Gyeongsang National University as an assistant professor in 2004. His research interests are in flow measurement and control.
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Tu, X.C., Liu, D. & Kim, HB. Quantitative investigation of the transition process in Taylor-Couette flow. J Mech Sci Technol 27, 407–412 (2013). https://doi.org/10.1007/s12206-012-1253-2
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DOI: https://doi.org/10.1007/s12206-012-1253-2